02-24

Calabi-Yau-threefolds with Picard number rho(X)=2 and their Kaehler cone I

by Kuehnel, M.

 

Preprint series: 02-24, Preprints

MSC:
14J30 Special $3$-folds, See also {14E05}

 

Abstract: We describe properties of the Kaehler cone of general Calabi-Yau-threefolds with Picard number $\rho(X)=2$ and prove the rationality of the Kaehler cone, if $X$ is a Calabi-Yau-hypersurface in a ${\mathbb P}^2$-bundle over ${\mathbb P}^2$ and $c_3(X)\le -54$. Without the latter assumption we prove the positivity of $c_2(X)$.

Keywords: Calabi-Yau-3-folds


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Letzte Änderung: 01.03.2018 - Ansprechpartner: Webmaster